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Simplifying 4z + -1z = -3z + 7 + -1z Combine like terms: 4z + -1z = 3z 3z = -3z + 7 + -1z Reorder the terms: 3z = 7 + -3z + -1z Combine like terms: -3z + -1z = -4z 3z = 7 + -4z Solving 3z = 7 + -4z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '4z' to each side of the equation. 3z + 4z = 7 + -4z + 4z Combine like terms: 3z + 4z = 7z 7z = 7 + -4z + 4z Combine like terms: -4z + 4z = 0 7z = 7 + 0 7z = 7 Divide each side by '7'. z = 1 Simplifying z = 1
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